1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}(\mathrm{x})=\mathrm{x}, \quad$$ for $$\mathrm{x} \leq 0$$

$$=0,\quad$$ for $$x>0$$, then the function $$f(x)$$ at $$x=0$$ is

A
not continuous and not differentiable.
B
not continuous but differentiable.
C
continuous but not differentiable.
D
continuous and differentiable.
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair coin is tossed for a fixed number of times. If probability of getting 7 heads is equal to probability of getting 9 heads, then probability of getting 2 heads is

A
$$\frac{1}{15}$$
B
$$\frac{15}{2^{13}}$$
C
$$\frac{15}{2^8}$$
D
$$\frac{2}{15}$$
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The region represented by the inequalities $$x \geq 6, y \geq 3,2 x+y \geq 10, x \geq 0, y \geq 0$$ is

A
origin side of all the inequalities
B
unbounded
C
polygon
D
bounded
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

IF $$A X=B$$, where $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], X=\left[\begin{array}{l}x \\ y \\ z\end{array}\right], B=\left[\begin{array}{l}4 \\ 0 \\ 2\end{array}\right]$$, then $$2 x+y-z=$$

A
2
B
1
C
4
D
$$-$$2
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